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Fluids & HVACMulti-check

Fluids & HVAC Quick Pack

Three fast checks: (1) Reynolds, friction factor, and pressure loss for water, (2) duct diameter from velocity method, (3) ACH to flow conversion. For concept sizing; use standards for detailed design.

1) Water Reynolds, f, and Pressure Drop (Darcy-Weisbach)

Re106,103
f (Darcy)0.0227
Velocity v2.65 m/s
Δp (along L)99.81 kPa

Assumptions: water at 20°C (ρ=1000 kg/m³, μ=1 cP). Δp = f·(L/D)·ρv²/2. Minor losses, fittings, and temperature effects are excluded.

2) Duct Velocity Method (equivalent diameter)

Area A833.33 dm²
Equivalent D326 mm
Dynamic pressure q22 Pa

Typical velocities: offices 4–6 m/s, industrial 6–10 m/s. Check manufacturer catalogs for noise and loss; elbows/dampers add extra losses.

3) Air Changes per Hour (ACH) ↔ Flow

Flow1,200 m³/h
Flow (m³/s)0.333 m³/s

Typical ACH: offices 4–8, classrooms 6–10, labs 8–15. Check building codes and indoor air quality standards.

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Formula

Δp = f·(L/D)·ρ·v^2/2 | Re = ρ·v·D/μ | Q = A·v

Assumptions

  • Water at 20°C with ?=1000 kg/m³ and µ=1 cP assumed.
  • Minor losses and fittings are not included.

References

  • Crane TP-410 (Flow of Fluids)
  • ASHRAE Fundamentals
Torqyx Engineering - FEA
Torqyx Engineering - Exploded View

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